122021112121200 has 360 divisors, whose sum is σ = 441881392968288. Its totient is φ = 31122570885120.

The previous prime is 122021112121157. The next prime is 122021112121267. The reversal of 122021112121200 is 2121211120221.

122021112121200 is a `hidden beast` number, since 1 + 220 + 2 + 111 + 212 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2596336102 + ... + 2596383098.

Almost surely, 2^{122021112121200} is an apocalyptic number.

122021112121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021112121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220940696484144).

122021112121200 is an abundant number, since it is smaller than the sum of its proper divisors (319860280847088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122021112121200 is a wasteful number, since it uses less digits than its factorization.

122021112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78401 (or 78387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122021112121200 its reverse (2121211120221), we get a palindrome (124142323241421).

The spelling of 122021112121200 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".